Work

Applications of Bernoulli Polynomials and q2-Srivastava–Attiya Operator in the Study of Bi-Univalent Function Classes

Year: 2025

Type: article

Abstract: The central focus of this study is the development and investigation of a generalized subclass of bi-univalent functions, defined using the q2-Srivastava–Attiya operator in conjunction with Bernoulli polynomials. We derive initial coefficient estimates for functions in the newly proposed class and also provide bounds for the Fekete–Szegö functional. In addition to presenting several new findings, we also explore meaningful connections with previously established results in the theory of bi-univalent and subordinate functions, thereby extending and unifying the existing literature in a novel direction.

Source: Mathematics

DOI: 10.3390/math13213384

Authors: Basem Aref Frasin, Sondekola Rudra Swamy, Ibtisam Aldawish, Paduvalapattana Kempegowda Mamatha

Institutions: Al al-Bayt University, Acharya Institute of Technology, Imam Mohammad ibn Saud Islamic University, Alliance University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Al-Imam Muhammad Ibn Saud Islamic University